Exponent (Index), Surd and Logarithm

Name: Exponent (Index), Surd and Logarithm
Rating: 4.7 (12 reviews)

Singapore New Syllabus for GCE O-Level Additional Mathematics

Created byMohd Fikri Abdul Aziz

Last updated 1/2018

English

What you'll learn

Simplify Exponential Expressions
Solve Exponential Equations
Simplify Square Roots and Higher Index Roots
Perform Surd Expansion
Rationalise Denominator containing Surd
Solve Equations involving Surds
Perform basic Arithmetic operation involving Surds
Simplify Logarithmic Expressions
Solve Logarithmic Equations
Sketch and Plot Exponential Curve

Course content

4 sections • 58 lectures • 8h 21m total length

General overview of the course4:25
The structure of the course is presented in this video. Students will be able to determine if this course is the one for them.

Introduction to Exponent2:22
Basic information about Exponent is presented in this video. After watching this video, students will be able to describe what an exponent is.
Integer Exponents with Integer Base4:42
The most basic type of exponent is presented. After watching this video students will be able to determine the value of exponential terms with integer exponent and base.
Integer Exponents with Fractional Base6:23
This video builds upon the previous one. It introduces fractional base into exponential terms. After watching this video students will be able to determine the value of exponential terms with integer exponent and fractional base.
Quiz01 on Integer Exponents
Solutions to Quiz01 (Integer Exponents)9:31
This video shows the solution to Quiz 01. After watching this video students will be able to solve all the questions presented in the quiz.
Positive Integer Exponents with Same Base Value8:02
The video shows some tricks that can be performed between two or more exponential terms with the same base value. After watching this video students will be able to simplify multiple exponential terms with integer exponent and with the same base value.
Negative Integer Exponents10:32
This video introduces terms with negative integer exponent. After watching this video students will be able to determine the value of exponential terms with negative integer exponent.
Quiz02 on Positive and Negative Exponents
Solutions to Quiz02 (Positive and Negative Exponents)5:42
This video contains steps to solve questions in Quiz 02. After watching this video students will be able to answer all the questions in Quiz 02.
More on Rules of Exponent9:11
This video discusses a few important Rules of Exponent. After watching this video students will be able to simplify exponential terms using Rules of Exponent.
Fractional Exponents (part 1 of 2)10:40
This video describes fractional exponents and how they relate to roots. After watching this video students will be able to determine values and simplify exponential terms.
Fractional Exponents (part 2 of 2)11:46
This video describes fractional exponents and how they relate to roots. After watching this video students will be able to determine values and simplify exponential terms.
Quiz03 on Fractional Exponents
Solutions to Quiz03 (Fractional Exponents)7:49
This video contains steps to solve questions in Quiz 03. After watching this video students will be able to answer all the questions in Quiz 03.
Simplifying Exponential Expressions8:05
This video explains how to use all the Rules of Exponents to simplify Exponential Expressions. After watching this video students will be able to simplify Exponential Expressions.
Quiz04 on Simplification of Exponential Expressions
Solutions to Quiz04 (Simplification of Exponential Expresssions)6:18
This video contains steps to solve questions in Quiz 04. After watching this video students will be able to answer all the questions in Quiz 04.
Solving Exponential Equations (part 1 of 3)10:13
This video describes how we can use Rules of Exponents to solve Exponential Equations. After watching this video students will be able to solve Exponential Equations with single unknown exponent.
Solving Exponential Equations (part 2 of 3)9:48
This video describes how we can use Rules of Exponents to solve Exponential Equations. After watching this video students will be able to solve Exponential Equations with single unknown exponent.
Solving Exponential Equations (part 3 of 3)14:14
This video describes how we can use Rules of Exponents to solve a few types of Exponential Equations. After watching this video students will be able to solve Exponential Equations with single or double unknown exponents.
Quiz05 on Solving Exponential Equations
Solutions to Quiz05 (Solving Exponential Equations)19:40
This video contains steps to solve questions in Quiz 05. After watching this video students will be able to answer all the questions in Quiz 05.

Introduction to Surd1:53
Basic information about Surd is presented in this video. After watching this video, students will be able to describe what a Surd is.
Square Root Surds4:21
The most basic type of Surd (Square Root) is presented this video. After watching this video students will be able to use Rules of Surd.
Simplifying Square Roots14:26
This video describes how to use Rules of Surd to simplify Square Roots. After watching this video students will able to use Rules of Surd to Simplify Square Roots.
Quiz06 on Square Roots
Solutions to Quiz06 (Square Roots)12:18
This video contains steps to solve questions in Quiz 06. After watching this video students will be able to answer all the questions in Quiz 06.
Surd Expansion6:24
This video tells how to perform Surd Expansion. After watching this video students will able to perform Binomial Expansion of expressions containing Surds.
Conjugate Surds4:38
This video introduces Conjugate to Surd expression. After watching this video students will able to perform Binomial Expansion of Conjugate Surds.
Quiz07 on Surd Expansion and Conjugate Surds
Solutions to Quiz07 (Surd Expansion and Conjugate Surds)8:40
This video contains steps to solve questions in Quiz 07. After watching this video students will be able to answer all the questions in Quiz 07.
Rationalizing the Denominator13:49
This video explains how to rationalise a surd denominator. After watching this video students will be able to rationalise the denominator of a surd expression.
Quiz08 on Rationalisation of the Denominator
Solutions to Quiz08 (Rationalisation of the Denominator)5:48
This video contains steps to solve questions in Quiz 08. After watching this video students will be able to answer all the questions in Quiz 08.
Solving Equations involving Surds7:48
This lecture shows how to solve equations which contain surds. After watching this video students will be able to solve equations involving surds.
Quiz09 on Solving Equations involving Surds
Solutions to Quiz09 (Solving Equations involving Surds)10:04
This video contains steps to solve questions in Quiz 09. After watching this video students will be able to answer all the questions in Quiz 09.
Simplifying Higher Index Roots6:57
This video shows how to simplify Higher Index Roots. After watching this video students will be able to perform simplification of Higher Index Roots.
Quiz10 on Simplification of Higher Index Roots
Solutions to Quiz10 (Simplification of Higher Index Roots)7:07
This video contains steps to solve questions in Quiz 10. After watching this video students will be able to answer all the questions in Quiz 10.
Rationalizing Denominator of Higher Index Roots7:19
This video shows how to Simplify fractional surds by Rationalizing the Denominator of Higher Index Roots. After watching this video students will be able to Rationalize the Denominator of Higher Index Roots.
Quiz11 on Rationalisation of Denominator of Higher Index Roots
Solutions to Quiz11 (Rationalisation of Denominator of Higher Index Roots)3:56
This video contains steps to solve questions in Quiz 11. After watching this video students will be able to answer all the questions in Quiz 11.
Basic Arithmetic Operations on Higher Index Roots14:58
This video shows how to perform Arithmetic operations on Higher Index Roots. After watching this video Students will be able to perform Arithmetic operations on Higher Index Roots.
Quiz12 on Basic Arithmetic Operations on Higher Index Roots
Solutions to Quiz 12 (Basic Arithmetic Operations on Higher Index Roots)6:20
This video contains steps to solve questions in Quiz 12. After watching this video students will be able to answer all the questions in Quiz 12.

Introduction to Logarithm9:36
Basic information about Logarithm is presented in this video. After watching this video, students will be able to transform Exponential expressions into Logarithm expressions and vice versa..
Quiz13 on Switching between Logarithmic and Exponential forms
Solutions to Quiz13 (Switching between Logarithmic and Exponential forms)4:42
This video contains steps to solve questions in Quiz 13. After watching this video students will be able to answer all the questions in Quiz 13.
Quiz14 on Calculating value of Logarithmic terms
Solutions to Quiz14 (Calculating value of Logarithmic terms)7:49
This video contains steps to solve questions in Quiz 14. After watching this video students will be able to answer all the questions in Quiz 14.
Common Logarithms6:04
This video describes the most basic form of Logarithm. After watching this video students will be able to find values of Common Logarithmic terms.
Quiz15 on Common Logarithms
Solutions to Quiz15 (Common Logarithms)2:56
This video contains steps to solve questions in Quiz 15. After watching this video students will be able to answer all the questions in Quiz 15.
Rules of Logarithm13:57
This video shows how to derive Rules of Logarithm. After watching this video students will be able to derive Rules of Logarithm.
Application of Rules of Logarithm12:48
This video shows how to apply Rules of Logarithm. After watching this video students will be able to apply Rules of Logarithm when solving Logarithmic problems.
Quiz16 on Application of Rules of Logarithm
Solutions to Quiz16 (Application of Rules of Logarithm)11:09
This video contains steps to solve questions in Quiz 16. After watching this video students will be able to answer all the questions in Quiz 16.
Simplifying Logarithmic Expressions6:01
This video shows how to simplify Logarithmic expressions. After watching this video students will be able to simplify Logarithmic expressions.
Quiz17 on Simplifying Logarithmic Expressions
Solutions to Quiz17 (Simplifying Logarithmic Expressions)7:40
This video contains steps to solve questions in Quiz 17. After watching this video students will be able to answer all the questions in Quiz 17.
Change of Base of Logarithms15:33
This video shows how to determine values of Logarithmic expressions by changing the Base. After watching this video students will be able to apply the techniques of changing the base of Logarithm when finding values of Logarithmic expressions.
Quiz18 on Change of Base of Logarithms
Solutions to Quiz18 (Change of Base of Logarithms)10:46
This video contains steps to solve questions in Quiz 18. After watching this video students will be able to answer all the questions in Quiz 18.
Exponential Constant e5:19
This video introduces the Exponential Constant e. After watching this video students will be able to use Exponential Constant e.
Quiz19 on Exponential Constant e
Solutions to Quiz19 (Exponential Constant e)3:12
This video contains steps to solve questions in Quiz 19. After watching this video students will be able to answer all the questions in Quiz 19.
Natural Logarithms3:47
This video introduces Natural Logarithms. After watching this video students will be able to transform Exponential expressions with base e into Natural Logarithmic expressions.
Quiz20 on Natural Logarithms
Solutions to Quiz20 (Natural Logarithms)3:19
This video contains steps to solve questions in Quiz 20. After watching this video students will be able to answer all the questions in Quiz 20.
Solving Equations involving Exponents and Logarithms13:40
This video shows how to solve equations when both Exponents and Logarithms are present. After watching this video students will be able to solve equations involving both Exponents and Logarithms.
Quiz21 on Solving Equations involving Exponents and Logarithms
Solutions to Quiz21 (Solving Equations involving Exponents and Logarithms)12:48
This video contains steps to solve questions in Quiz 21. After watching this video students will be able to answer all the questions in Quiz 21.
Graphs of Exponential Functions (part 1 of 2)10:07
This video shows how to sketch and plot graphs of Exponential Functions. After watching this video students will be able to sketch and plot graphs of Exponential Functions.
Graphs of Exponential Functions (part 2 of 2)12:11
This video shows how to sketch and plot graphs of Exponential Functions. After watching this video students will be able to sketch and plot graphs of Exponential Functions.
Quiz22 on Graphs of Exponential Functions
Solutions to Quiz22 (Graphs of Exponential Functions)12:08
This video contains steps to solve questions in Quiz 22. After watching this video students will be able to answer all the questions in Quiz 22.
Graphs of Logarithmic Functions8:21
This video shows how to sketch and plot graphs of Logarithmic Functions. After watching this video students will be able to sketch and plot graphs of Logarithmic Functions.
Quiz23 on Graphs of Logarithmic Functions
Solutions to Quiz23 (Graphs of Logarithmic Functions)11:31
This video contains steps to solve questions in Quiz 23. After watching this video students will be able to answer all the questions in Quiz 23.

Requirements

Students should already be familiar with Basic Algebra
No prior knowledge of Logarithm is required

Description

This is an introductory course on Exponents (Indices), Surds and Logarithms. It comprises a total of 8.5 hours worth of videos and quizzes. This is perfect for secondary school students seeking a good primer on all the related topics leading to understanding Logarithms. It is also great as a refresher for everyone else.

The course is arranged from the very basic introduction and progresses swiftly with increasing depth and complexity on the subject. It is recommended that the students do not skip any part of the lectures, or jump back and forth, because good understanding of the fundamental is important as you progress.

Quizzes are included on 23 subtopics to strengthen your understanding and fluency on this topic. So it is advisable that you attempt all the questions.

The course is delivered by an experienced teacher with extensive experience in teaching students on a one to one basis. The instructor understands the difficulties that students normally face to become competent in mathematics. So words and examples were carefully chosen to ensure that everybody gets the most out of this series of lectures. This is a MUST course for all secondary school students.

Have fun learning!

Who this course is for:

Secondary and High School Students
Mathematics Teachers
Adults seeking a refresher on Exponents, Surds and Logarithms

Exponent (Index), Surd and Logarithm

What you'll learn

Explore related topics

Course content

Introduction to the course1 lecture • 4min

Exponents (Indices)17 lectures • 2hr 35min

Surds17 lectures • 2hr 17min

Logarithms23 lectures • 3hr 25min

Requirements

Description

Who this course is for: